Question

F(x)=x^2+1
g(x)=2x-5
Find f(x)-g(x)​

Answer 1

`\large\boxed{f(x)-g(x)=x^2+2x+6}`

Explanation:

`f(x)=x^2+1\\\\g(x)=2x-5\\\\f(x)-g(x)=(x^2+1)-(2x-5)\\\\f(x)-g(x)=x^2+1-2x-(-5)\\\\f(x)-g(x)=x^2+1-2x+5\qquad\text{combine like terms}\\\\f(x)-g(x)=x^2+2x+(1+5)\\\\f(x)-g(x)=x^2+2x+6`